Formal Verification of Flavor Non-Universal Gauge Theories Using Interactive Theorem Provers

Isidori (2023) suggests flavor deconstruction as a path to BSM, while Schmoetten & Fleuriot (2024) have demonstrated the power of formalizing Lie groups and algebras in theorem provers. Building on these, I propose to formalize, within interactive theorem proving environments, models of gauge interactions that are explicitly flavor non-universal in the UV—checking anomaly cancellation, symmetry breaking, and low-energy limits with machine-verified rigor. This would not only ensure the mathematical consistency of such models (which are often complex and error-prone), but also allow for automated checks of BSM phenomenological constraints (e.g., flavor-changing neutral currents). The novelty here is the synthesis of formal mathematics and BSM model-building, potentially setting new standards for rigor and reproducibility in theoretical high-energy physics.

References:

1. Flavor physics beyond the Standard Model and the Kobayashi-Maskawa legacy. G. Isidori (2023). Progress of Theoretical and Experimental Physics.
2. A Construction of the Lie Algebra of a Lie Group in Isabelle/HOL. Richard Schmoetten, J. D. Fleuriot (2024). arXiv.org.